Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials
Serdica Mathematical Journal, Tome 34 (2008) no. 4, pp. 743-770
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In the present paper we consider degree 6 hyperbolic polynomials (HPs) in one variable (i.e. real and with all roots real). We are interested in such HPs whose number of equalities between roots of the polynomial and/or its derivatives is higher than expected. We give the complete study of the four families of such degree 6 even HPs and also of HPs which are primitives of degree 5 HPs.
Keywords:
Strictly Hyperbolic Polynomial, Gegenbauer Polynomial, Overdetermined Stratum
@article{SMJ2_2008_34_4_a3,
author = {Ezzaldine, Hayssam and Kostov, Vladimir Petrov},
title = {Even and {Old} {Overdetermined} {Strata} for {Degree} 6 {Hyperbolic} {Polynomials}},
journal = {Serdica Mathematical Journal},
pages = {743--770},
year = {2008},
volume = {34},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2008_34_4_a3/}
}
TY - JOUR AU - Ezzaldine, Hayssam AU - Kostov, Vladimir Petrov TI - Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials JO - Serdica Mathematical Journal PY - 2008 SP - 743 EP - 770 VL - 34 IS - 4 UR - http://geodesic.mathdoc.fr/item/SMJ2_2008_34_4_a3/ LA - en ID - SMJ2_2008_34_4_a3 ER -
Ezzaldine, Hayssam; Kostov, Vladimir Petrov. Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials. Serdica Mathematical Journal, Tome 34 (2008) no. 4, pp. 743-770. http://geodesic.mathdoc.fr/item/SMJ2_2008_34_4_a3/